116844672 has 128 divisors (see below), whose sum is σ = 375719040. Its totient is φ = 31408128.

The previous prime is 116844671. The next prime is 116844691. The reversal of 116844672 is 276448611.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 116844672.

It is not an unprimeable number, because it can be changed into a prime (116844671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44418 + ... + 46974.

It is an arithmetic number, because the mean of its divisors is an integer number (2935305).

Almost surely, 2^116844672 is an apocalyptic number.

116844672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116844672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187859520).

116844672 is an abundant number, since it is smaller than the sum of its proper divisors (258874368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116844672 is a wasteful number, since it uses less digits than its factorization.

116844672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2586 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 116844672 is about 10809.4714024322. The cubic root of 116844672 is about 488.8807886016.

The spelling of 116844672 in words is "one hundred sixteen million, eight hundred forty-four thousand, six hundred seventy-two".